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Finding the Fourth Proportional to 2,138.80, 3,208.80 and 1,043.20

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Solution

The fourth proportional to 2,138.80, 3,208.80 and 1,043.20 is: 1,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.80 : 3,208.80 = 1,043.20 : x
  2. Step 2: Convert to fraction form
    2,138.80/3,208.80 = 1,043.20/x
  3. Step 3: Cross multiply
    2,138.80x = 3,208.80 × 1,043.20
  4. Step 4: Simplify right side
    2,138.80x = 3,347,420.16
  5. Step 5: Solve for x
    x = 3,347,420.16/2,138.80
  6. Step 6: Final answer
    x = 1,565.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.